Results 21 to 30 of about 6,278,898 (215)
Filomat, 2014 In this article, we establish several properties of the composition of functions which are related to certain classes of completely monotonic functions and logarithmically completely monotonic functions.
Cheung, WS, Guo, S, Srivastava, HM
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Logarithmically complete monotonicity properties and characterizations of the gamma function
Tamkang Journal of Mathematics, 2007 n this paper, the logarithmically complete monotonic properties of the functions $ \prod_{i=1}^{n}\frac{\Gamma(x-a_i)}{\Gamma(x-b_i)} $ ,$ \Gamma(x)^{\alpha}\Gamma\Big(x-\sum_{i=1}^n a_i\Big)/\prod_{i=1}^{n}\Gamma(x-a_i) $, and $ x^r(e/x)^x \Gamma(x) $ are obtained. Some characterizations of the gamma function are deduced.
Li, Ai-Jun, Chen, Chao-Ping
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Logarithmically complete monotonicity of a function related to the Catalan-Qi function [PDF]
Acta Universitatis Sapientiae, Mathematica, 2016 Abstract In the paper, the authors find necessary and sufficient conditions such that a function related to the Catalan-Qi function, which is an alternative generalization of the Catalan numbers, is logarithmically complete monotonic.
Qi Feng, Guo Bai -Ni
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A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum [PDF]
, 2006 In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sum are founded, and an equivalent relation between the complete monotonicity and one of the class ...
Qi, Feng
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On a conjecture of a logarithmically completely monotonic function
, 2016 In this short note we prove a conjecture for the interval $(0,1)$, related to a logarithmically completely monotonic function, presented in \cite{BG}. Then, we extend by proving a more generalized theorem. At the end we pose an open problem on a logarithmically completely monotonic function involving $q$-Digamma function.
Krasniqi, Valmir, Shabani, Armend Sh.
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Certain Logarithmically N-Alternating Monotonic Functions Involving Gamma and q-Gamma Functions [PDF]
, 2005 In the paper, three basic properties of the logarithmically N-alternating monotonic functions are established and the monotonicity results of some functions involving the gamma and q-gamma functions, which are obtained in [W. E. Clark and M. E.
Qi, Feng
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A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION
Taiwanese Journal of Mathematics, 2010 In this paper, sufficient conditions are found for a function involving the gamma function and its reciprocal to be logarithmically completely monotonic. Consequently, a decreasing monotonicity of the function is generalized and a known inequality is extended.
Qi, Feng, Guo, Bai-Ni
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Logarithmically complete monotonicity of reciprocal ARCTAN function
Kragujevac Journal of MathematicsWe prove the conjecture stated in F. Qi and R. Agarwal, On complete monotonicity for several classes of functions related to ratios of gamma functions, J. Inequal. Appl. (2019), that the function 1∕ arctan is logarithmically completely monotonic on (0,∞), but not a Stieltjes transform.
Jovanović, Vladimir, Treml, Milanka
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Advanced Engineering Materials, EarlyView.Schematic representation of modes of microcrack nucleation, growth and temporary arrestment at different boundaries, with the criteria for crack propagation in three scenarios: (1) large notch, (2) defect/small sharp notch, and (3) long crack. This work revisits and integrates results on the fatigue behavior of advanced bainitic steels (in particular ...
Lucia Morales‐Rivas
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